Shear Modulus — the NEET Physics formula with its derivation, variables, validity constraints and worked solver.
Shear Modulus Solids within the elastic limit. Define Shear Stress (tau) as Force per unit Area (F/A). Define Shear Strain (gamma) as the ratio of lateral displacement to length (Delta x / L) or tan(theta). Apply Hooke's Law for shear: Stress is proportional to Strain. Define Shear Modulus (G) as the constant of proportionality: G = tau / gamma. Substitute definitions: G = (F/A) / (Delta x / L) = (FL) / (A Delta x). Material must behave elastically (Hooke's Law applies). Deformations must be small (small angle approximation). Confusing Shear Modulus with Young's Modulus (which relates to tension/compression). Assuming volume changes significantly during pure shear (pure shear does not change volume). Confusing the area A with the surface area of the entire object (it is only the area parallel to the force).